40 miles in 30 minutes, 60 miles in 45 minutes
divide 80 by 60 (mins in a hour) then multiply that’s by the number of minutes (30,45)
Answer:
Step-by-step explanation:
Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square
EG: 36 : Factors of 36 are 2,3,2,3. Here there are two 2's and two 3's. so 36 is a perfect square.
EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.
Answer:
27 : 8
Step-by-step explanation:
Given 2 similar figures with ratio of sides a : b, then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Here the ratio of areas = 9 : 4, thus
ratio of sides =
:
= 3 : 2
ratio of volumes = 3³ : 2³ = 27 : 8
The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.
<h3 /><h3>What is a type II error?</h3>
A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.
It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.
<h3>How the type II error is related to the significance level?</h3>
The relation between type II error and the significance level(α):
- The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
- The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
- Thus, if the significance level increases, the type II error decreases and vice-versa.
From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.
Learn more about type II error of a hypothesis test here:
brainly.com/question/15221256
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Answer:
a= c/2
b= (c/2)×√3
side b is the side with the 60 degree angle.
side a is the side with the 30 degree angle.
using the theorem that the side with the 60 degree × 2 = length of side c and the side with the 60 degree × √3 = b.
I get the following equations shown above.